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Finding the Fourth Proportional to 160,937.44, 221,992.62 and 103,651

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Solution

The fourth proportional to 160,937.44, 221,992.62 and 103,651 is: 142,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,937.44 : 221,992.62 = 103,651 : x
  2. Step 2: Convert to fraction form
    160,937.44/221,992.62 = 103,651/x
  3. Step 3: Cross multiply
    160,937.44x = 221,992.62 × 103,651
  4. Step 4: Simplify right side
    160,937.44x = 23,009,757,055.62
  5. Step 5: Solve for x
    x = 23,009,757,055.62/160,937.44
  6. Step 6: Final answer
    x = 142,973.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.